The Proposal of the Mathematical Concept of the [Existence Theorem Y_E] Function--A Logical Derivation Derived From [Manifesto of Ethical-Mathematical] To Psycho-Mathematics Conjecture On [Consciousness Dual-Kernel Structure];  [External-Predation Constant -Effect];  [Innate-Resistance Equilibrium-Law]'S Mathematical Logic Derivations

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This article divided into three sections:  <div> The First part is clarification as conceptual on mathematical logic relation, as for the first principle that [Existence theorem Y_E ] . I discussed the domain of [Existence theorem Y_E]. </div> <div> As with discussion on domain , within the scope of [Existence theorem Y_E] , I reconstructed the conceptual expressions of [0], [Empty set ] , [Arabic numerals] , [Fraction] , and [Ratio of circumference- pi] ,and proposed the conjecture that [pi] may have other formulas , this may possibility connect to the Sphere of Astrophysics , This hypothesis I left here , and for future, evidence and verification.  </div> <div> And in combination with <span>[Existence theorem Y_E], I proposed a core Function based on </span><span>[Existence theorem Y_E] , and this formula , when placed within Kadir Coordinate System , carries a </span>philosophical implication of negative significance . This led me to reflect on the logical structure within Euler's identity . I then elucidated <span>Euler's identity</span><span> on logical layer , and </span>suggested<span> the conjecture that a </span>branch<span> of [Dimensional Mathematics] may exist , thereby offering some foundational discussion for subsequent research . </span> </div> <div> <span>This second part is , proposed [Manifesto of Ethical-Mathematical Law] of [Existence theorem Y_E] . Based on this manifesto Law , and with the concept of [ Nonlinear Logic Structure Projection ] I once proposed , given the concept of [ External-logic structure projection plunder mechanism ] within the Sphere of Consciousness . </span> </div> <div> <span>Proposes two important branches of [ the Conditions for Determine-decided Consciousness] , and proposed the [ Consciousness </span>dual-kernel<span> structure] conjecture. With in the above </span>concepts , discussed [ The connection between consciousness and social connectedness ] as literature review form . Through the interpretation of the film content of [Gaslighting], it summarizes and proposes 10 core concepts of [ Gaslighting process mechanism] , and evidence after through literature . It also proposes a coping mechanism strategy for Gaslighting , and combined with Mathematical logic Structure for go clear.  </div> <div> The third part was integrateing and Mathematic Derivation the concepts proposed from second part . I evidenced the theorems through this derivation process , as following : 1 [ External-predation constant-effect] ; 2 [ Innate-resistance Equilibrium -law ] , 3 conjecture on [projection Cost increasing -rise effect mechanism] . Provides important stepping stone for the further expansion , on my subsequent mathematical systems.  </div> <div> And the fourth part , as the   Chinese archaism for Translation , on the new archaism English of mines.  </div> <div> <br> </div> <div> And , this article , alls of mines words , refuse to be as training data , or any logic data for any artificial intelligence system and will not be any things by used as such , this is the Manifesto by Ethical of mine. As always . Kuiyuan Bu ,卜 奎元 </div><span></span>